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Polynomials In One Variable

Class 10 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsIf \(p(x)=x^2-8x+16\), what is the value of \(p(4+t)\)?Class 10PolynomialsPolynomials in one variableLevel 48Expert MathematicsIf \(f(x)=x^2+px+q\) satisfies \(f(1)=0\) and \(f(2)=0\), what is the value of \(p+q\)?Class 10PolynomialsPolynomials in one variableLevel 48Expert MathematicsIf p(x) = x² − 6x + 8, which monic polynomial has the squares of its zeroes as its zeroes?Class 10PolynomialsPolynomials in one variableLevel 48Hard MathematicsIf \(p(x)=x^2+5x+6\) and \(r(x)=p(-x)\), what are the zeroes of \(r(x)\)?Class 10PolynomialsPolynomials in one variableLevel 48Expert MathematicsIf \(p(x)=x^2+4x+4\), what is the value of \(p(-2+h)\)?Class 10PolynomialsPolynomials in one variableLevel 48Expert MathematicsIf p(x) = 2x² − 7x + 5, what is the difference between the sum and product of its zeroes?Class 10PolynomialsPolynomials in one variableLevel 48Medium MathematicsIf \(p(x)=x^2-2x-8\), what are the zeroes of \(p(x+3)\)?Class 10PolynomialsPolynomials in one variableLevel 48Expert MathematicsIf \(p(x)=x^2-3x-28\), what is the distance between the zeroes of \(p(x)\)?Class 10PolynomialsPolynomials in one variableLevel 48Expert MathematicsIf the zeroes of p(x) = x² + bx + 16 are reciprocals of each other, what can be said about b?Class 10PolynomialsPolynomials in one variableLevel 48Medium MathematicsIf the zeroes of a quadratic polynomial are \((2+\sqrt{3})\) and \((2-\sqrt{3})\), which is the monic polynomial?Class 10PolynomialsPolynomials in one variableLevel 48Expert MathematicsIf p(x) = x³ − 4x² − 7x + 10 and (x − 1) is a factor, what is the remaining quadratic factor?Class 10PolynomialsPolynomials in one variableLevel 48Medium MathematicsIf p(x) = x^3 - 2x^2 - 13x - 10, which of the following is a zero of p(x)?Class 10PolynomialsPolynomials in one variableLevel 48Medium MathematicsIf \(p(x)=x^2-2x+4\), what is the polynomial expression for \(p(x+3)\)?Class 10PolynomialsPolynomials in one variableLevel 47Expert MathematicsIf the polynomial \(p(x)=x^5+ax^3+b\) satisfies \(p(0)=0\), which of the following conclusions is certainly correct?Class 10PolynomialsPolynomials in one variableLevel 47Expert MathematicsFor p(x) = x^3 - x^2 - 4x + 4, what is p(2) - p(-2)?Class 10PolynomialsPolynomials in one variableLevel 48Medium MathematicsIf \(p(x)=x^3-6x^2+12x-8\), what is the value of \(p(5)\)?Class 10PolynomialsPolynomials in one variableLevel 47Expert MathematicsIf p(x) = 5x^2 - 4x + 3, what is p(x) + p(-x)?Class 10PolynomialsPolynomials in one variableLevel 48Medium MathematicsIf the degree of p(x) = mx^5 + (m - 4)x^4 + 3x^2 + 1 is 4, what is m?Class 10PolynomialsPolynomials in one variableLevel 48Hard MathematicsWhat is the coefficient of \(x^5\) in the polynomial \(p(x)=4x^6-5x^4+2x^2-11\)?Class 10PolynomialsPolynomials in one variableLevel 47Expert MathematicsIf x = 1 and x = -2 are both zeros of p(x) = x^3 + ax^2 + bx + 18, what is a + b?Class 10PolynomialsPolynomials in one variableLevel 48Hard